Question:medium

Let the representation of a number in base 3 be 210. What is the hexadecimal representation of the number?

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Always convert to decimal first when changing between two non-related number bases.
Updated On: Jan 30, 2026
  • 15
  • 21
  • D2
  • 528
Show Solution

The Correct Option is A

Solution and Explanation

Step 1: Convert the base-3 number to decimal.
The given number is (210)3.

(210)3 = 2 × 32 + 1 × 31 + 0 × 30

= 18 + 3 + 0 = 21


Step 2: Convert the decimal number to hexadecimal.
Convert 2110 to base 16:

21 = 1 × 16 + 5

Hence, the hexadecimal representation is (15)16.


Final Conclusion:
The hexadecimal equivalent of (210)3 is:

15

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